Latent class analysis
Latent Class Analysis
1. First, make sure all variables are factors and subset the data to include only LCA classification variables and covariates:
2. Second, define the LCA formula.
Variables in parentheses are the latent class classification variables.
Variables outside of the parentheses are covariates (not included in the LCA).
Finally, run the LCA specifying a range of classes
LCA: Classification VARS: ASUS / Risk/ Trauma
covariates: demographics (no location)
chisq+post-hoc: latent class vs. Outcome: Incident Score –> binary
Visualizations
Demographics
ASUS
RISK
Trauma
Incidents
Client Class Profiles
Client Class 1
## # A tibble: 3 × 2
## class n
## <fct> <int>
## 1 1 905
## 2 2 467
## 3 3 442## # A tibble: 3 × 5
## class min median mean max
## <fct> <int> <dbl> <dbl> <int>
## 1 1 21 41 42.6 79
## 2 2 22 40 41.9 82
## 3 3 23 44.5 44.9 68## # A tibble: 5 × 3
## Race counts percent
## <chr> <int> <dbl>
## 1 African American or Black 400 0.44
## 2 Caucasian or White 234 0.26
## 3 Some other race 212 0.23
## 4 Multi-Racial 47 0.05
## 5 American Indian or Alaskan Native 12 0.01## # A tibble: 12 × 3
## Religion counts percent
## <chr> <int> <dbl>
## 1 None 261 0.288
## 2 Christian 216 0.239
## 3 Catholic 176 0.194
## 4 Protestant 74 0.082
## 5 Baptist 63 0.07
## 6 Islamic 45 0.05
## 7 Other 44 0.049
## 8 Pentecostal 10 0.011
## 9 Agnostic 6 0.007
## 10 Buddhist 5 0.006
## 11 Jewish 4 0.004
## 12 Mormon 1 0.001Chi-square Test
##
## Pearson's Chi-squared test
##
## data: data$Incident_class and data$Client_class
## X-squared = 4.7466, df = 2, p-value = 0.09317## data$Client_class
## data$Incident_class 1 2 3
## No 879 444 430
## Yes 26 23 12## data$Client_class
## data$Incident_class 1 2 3
## No 0.97127072 0.95074946 0.97285068
## Yes 0.02872928 0.04925054 0.02714932## data$Client_class
## data$Incident_class 1 2 3
## No 0.5014261 0.2532801 0.2452938
## Yes 0.4262295 0.3770492 0.1967213## Adjusted p-values used the bonferroni method.## comparison raw.p adj.p
## 1 1 vs. 2 0.0646 0.1938
## 2 1 vs. 3 1.0000 1.0000
## 3 2 vs. 3 0.0876 0.2628Client class profiles
| Cluster 1 | Cluster 2 | Cluster 3 | |
|---|---|---|---|
| Number of Clients | 905 | 467 | 442 |
| Current Age | 42.58 | 41.93 | 44.89 |
| Suicide Risk Level | 0.25 | 0.18 | 0.65 |
| Homicide Risk Level | 0.09 | 0.07 | 0.16 |
| Criminal History | 3.41 | 3.1 | 3 |
| Aod Involvement | 7.75 | 2.23 | 17.55 |
| Disruption | 8.5 | 1.35 | 38.52 |
| Life Functioning Problems | 33.35 | 10.9 | 81.84 |
| Aod Last Six Months | 2.47 | 0.33 | 12.52 |
| Legal Non-Conforming Problems | 2.84 | 1.57 | 4.72 |
| Proportion with Trauma History | 33% | 28% | 44% |
## [[1]]
## Gender Race
## F: 24 African American or Black :400
## M:881 American Indian or Alaskan Native : 12
## Asian : 0
## Caucasian or White :234
## Multi-Racial : 47
## Native Hawaiian/Other Pacific Islander: 0
## Some other race :212
## MaritalStatus Religion Discharged City
## Civil Union : 5 None :261 New Haven :370
## Divorced/Annulled : 78 Christian :216 Middletown: 84
## Legally separated : 20 Catholic :176 Hartford : 61
## Married : 79 Protestant: 74 Bridgeport: 46
## Other : 1 Baptist : 63 Waterbury : 28
## Single/Never Married:722 Islamic : 45 (Other) :260
## Widow/widower : 0 (Other) : 70 NA's : 56## [[1]]
## Gender Race
## F: 2 African American or Black :225
## M:465 American Indian or Alaskan Native : 0
## Asian : 4
## Caucasian or White : 94
## Multi-Racial : 23
## Native Hawaiian/Other Pacific Islander: 1
## Some other race :120
## MaritalStatus Religion Discharged City
## Civil Union : 2 None :139 New Haven :207
## Divorced/Annulled : 52 Christian :114 Middletown: 59
## Legally separated : 4 Catholic : 70 Hartford : 25
## Married : 40 Protestant: 42 Bridgeport: 20
## Other : 0 Baptist : 32 Waterbury : 12
## Single/Never Married:366 Islamic : 28 (Other) :106
## Widow/widower : 3 (Other) : 42 NA's : 38## [[1]]
## Gender Race
## F: 29 African American or Black : 90
## M:413 American Indian or Alaskan Native : 0
## Asian : 2
## Caucasian or White :254
## Multi-Racial : 22
## Native Hawaiian/Other Pacific Islander: 0
## Some other race : 74
## MaritalStatus Religion Discharged City
## Civil Union : 2 None :134 New Haven :176
## Divorced/Annulled : 53 Catholic :120 Middletown: 55
## Legally separated : 11 Christian : 90 Hartford : 18
## Married : 24 Protestant: 36 Waterbury : 18
## Other : 1 Baptist : 18 Bridgeport: 17
## Single/Never Married:343 Other : 18 (Other) :126
## Widow/widower : 8 (Other) : 26 NA's : 32